Acronym	graggix
Name	great rhombated grand hexacosachoron
Cross sections	©
Circumradius	sqrt[43-18 sqrt(5)] = 1.658546
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: stip tiggy toe graggix 720 120 600 )
Face vector	7200, 14400, 8640, 1440
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope graggix is isomorphic to grix, thereby replacing the pentagrams by pentagons, resp. replacing tiggy by ti and stip by pip.

Incidence matrix according to Dynkin symbol

x3x3x5/2o

. . .   . | 7200 |    1    1    2 |    1    2    2    1 |   2   1   1
----------+------+----------------+---------------------+------------
x . .   . |    2 | 3600    *    * |    1    2    0    0 |   2   1   0
. x .   . |    2 |    * 3600    * |    1    0    2    0 |   2   0   1
. . x   . |    2 |    *    * 7200 |    0    1    1    1 |   1   1   1
----------+------+----------------+---------------------+------------
x3x .   . |    6 |    3    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    0    2 |    * 3600    *    * |   1   1   0
. x3x   . |    6 |    0    3    3 |    *    * 2400    * |   1   0   1
. . x5/2o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x3x   . ♦   24 |   12   12   12 |    4    6    4    0 | 600   *   *
x . x5/2o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x3x5/2o ♦   60 |    0   30   60 |    0    0   20   12 |   *   * 120

x3x3x5/3o

. . .   . | 7200 |    1    1    2 |    1    2    2    1 |   2   1   1
----------+------+----------------+---------------------+------------
x . .   . |    2 | 3600    *    * |    1    2    0    0 |   2   1   0
. x .   . |    2 |    * 3600    * |    1    0    2    0 |   2   0   1
. . x   . |    2 |    *    * 7200 |    0    1    1    1 |   1   1   1
----------+------+----------------+---------------------+------------
x3x .   . |    6 |    3    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    0    2 |    * 3600    *    * |   1   1   0
. x3x   . |    6 |    0    3    3 |    *    * 2400    * |   1   0   1
. . x5/3o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x3x   . ♦   24 |   12   12   12 |    4    6    4    0 | 600   *   *
x . x5/3o ♦   10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x3x5/3o ♦   60 |    0   30   60 |    0    0   20   12 |   *   * 120